Rome is an amazing place.  Just chaotic.  I'd recommend getting Rick Steve's book on the topic: https://www.ricksteves.com/europe/italy/rome  If you have a chance to also visit Florence (and whatever smaller places you can - trains and buses can bring you just about anywhere).
Greece is a big and diverse place. Athens is a big, chaotic and unpleasant big city, in my experience. There are many, many islands to explore - each different (Corfu, Mykanos, Crete, etc, etc.) and a totally different vibe than Athens. Would also recommend a Rick Steve's guide book.
				
			Greece is a big and diverse place. Athens is a big, chaotic and unpleasant big city, in my experience. There are many, many islands to explore - each different (Corfu, Mykanos, Crete, etc, etc.) and a totally different vibe than Athens. Would also recommend a Rick Steve's guide book.
	
	